{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7XSK2UZYVEPYDCLZGTNI4HWNQ2","short_pith_number":"pith:7XSK2UZY","canonical_record":{"source":{"id":"2505.23048","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-29T03:43:16Z","cross_cats_sorted":[],"title_canon_sha256":"50bd3fb51d2de03d49021107fa2ac274817d0f7c9f50464c79024ade32abfb2d","abstract_canon_sha256":"0a922dd130222122c05ea7d32742a4526667529c5a6ea0660b9f205c2d9f28ae"},"schema_version":"1.0"},"canonical_sha256":"fde4ad5338a91f81897934da8e1ecd86b6fc6342c5972516d128204d02339dbe","source":{"kind":"arxiv","id":"2505.23048","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23048","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23048v1","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23048","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"pith_short_12","alias_value":"7XSK2UZYVEPY","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"pith_short_16","alias_value":"7XSK2UZYVEPYDCLZ","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"pith_short_8","alias_value":"7XSK2UZY","created_at":"2026-07-05T11:11:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7XSK2UZYVEPYDCLZGTNI4HWNQ2","target":"record","payload":{"canonical_record":{"source":{"id":"2505.23048","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-29T03:43:16Z","cross_cats_sorted":[],"title_canon_sha256":"50bd3fb51d2de03d49021107fa2ac274817d0f7c9f50464c79024ade32abfb2d","abstract_canon_sha256":"0a922dd130222122c05ea7d32742a4526667529c5a6ea0660b9f205c2d9f28ae"},"schema_version":"1.0"},"canonical_sha256":"fde4ad5338a91f81897934da8e1ecd86b6fc6342c5972516d128204d02339dbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:54.437189Z","signature_b64":"dkzrKq5E0bMVz/Jig4SU5/8Yjz2GkGH8wmjKL1NHVXJtKrH4J47z9rl/4jbPpfyakJpTxy+QAXHTYiUjOli7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fde4ad5338a91f81897934da8e1ecd86b6fc6342c5972516d128204d02339dbe","last_reissued_at":"2026-07-05T11:11:54.436720Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:54.436720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.23048","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:11:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZnmHzM5PPWwbpvjRVpHKmddfo12kMmay7D6bzeGxpN83lSlC0dPWa1TnY2rns6OdVnHiD6XCqGn6UD4SRJgLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:03:25.818203Z"},"content_sha256":"bbdace5ac088810e514481aef2a0eb95ff7c60fbd40f2a12e08d88ebf2f95909","schema_version":"1.0","event_id":"sha256:bbdace5ac088810e514481aef2a0eb95ff7c60fbd40f2a12e08d88ebf2f95909"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7XSK2UZYVEPYDCLZGTNI4HWNQ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ProDiff: Prototype-Guided Diffusion for Minimal Information Trajectory Imputation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Feng Yao, Jianhong Mou, Jingyuan Wang, Kang Yang, Le Zhou, Suoyi Tan, Tianci Bu, Wenchuan Yang, Xin Lu","submitted_at":"2025-05-29T03:43:16Z","abstract_excerpt":"Trajectory data is crucial for various applications but often suffers from incompleteness due to device limitations and diverse collection scenarios. Existing imputation methods rely on sparse trajectory or travel information, such as velocity, to infer missing points. However, these approaches assume that sparse trajectories retain essential behavioral patterns, which place significant demands on data acquisition and overlook the potential of large-scale human trajectory embeddings. To address this, we propose ProDiff, a trajectory imputation framework that uses only two endpoints as minimal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23048","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.23048/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:11:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O7UNFIg2GNQDAY2zLwzHf6X4g3O7uxBniq4/XG6j63V/LHtDVg+/g9dG1QmvPTBzc8l+0wIPkz3x61+54jLpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:03:25.819040Z"},"content_sha256":"e57f7204ff05f8e77bd188b8a15cb87960c9c4922b8345bad3d130eee07f973c","schema_version":"1.0","event_id":"sha256:e57f7204ff05f8e77bd188b8a15cb87960c9c4922b8345bad3d130eee07f973c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7XSK2UZYVEPYDCLZGTNI4HWNQ2/bundle.json","state_url":"https://pith.science/pith/7XSK2UZYVEPYDCLZGTNI4HWNQ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7XSK2UZYVEPYDCLZGTNI4HWNQ2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T16:03:25Z","links":{"resolver":"https://pith.science/pith/7XSK2UZYVEPYDCLZGTNI4HWNQ2","bundle":"https://pith.science/pith/7XSK2UZYVEPYDCLZGTNI4HWNQ2/bundle.json","state":"https://pith.science/pith/7XSK2UZYVEPYDCLZGTNI4HWNQ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7XSK2UZYVEPYDCLZGTNI4HWNQ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7XSK2UZYVEPYDCLZGTNI4HWNQ2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0a922dd130222122c05ea7d32742a4526667529c5a6ea0660b9f205c2d9f28ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-29T03:43:16Z","title_canon_sha256":"50bd3fb51d2de03d49021107fa2ac274817d0f7c9f50464c79024ade32abfb2d"},"schema_version":"1.0","source":{"id":"2505.23048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23048","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23048v1","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23048","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"pith_short_12","alias_value":"7XSK2UZYVEPY","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"pith_short_16","alias_value":"7XSK2UZYVEPYDCLZ","created_at":"2026-07-05T11:11:54Z"},{"alias_kind":"pith_short_8","alias_value":"7XSK2UZY","created_at":"2026-07-05T11:11:54Z"}],"graph_snapshots":[{"event_id":"sha256:e57f7204ff05f8e77bd188b8a15cb87960c9c4922b8345bad3d130eee07f973c","target":"graph","created_at":"2026-07-05T11:11:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.23048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Trajectory data is crucial for various applications but often suffers from incompleteness due to device limitations and diverse collection scenarios. Existing imputation methods rely on sparse trajectory or travel information, such as velocity, to infer missing points. However, these approaches assume that sparse trajectories retain essential behavioral patterns, which place significant demands on data acquisition and overlook the potential of large-scale human trajectory embeddings. To address this, we propose ProDiff, a trajectory imputation framework that uses only two endpoints as minimal ","authors_text":"Feng Yao, Jianhong Mou, Jingyuan Wang, Kang Yang, Le Zhou, Suoyi Tan, Tianci Bu, Wenchuan Yang, Xin Lu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-29T03:43:16Z","title":"ProDiff: Prototype-Guided Diffusion for Minimal Information Trajectory Imputation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23048","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bbdace5ac088810e514481aef2a0eb95ff7c60fbd40f2a12e08d88ebf2f95909","target":"record","created_at":"2026-07-05T11:11:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0a922dd130222122c05ea7d32742a4526667529c5a6ea0660b9f205c2d9f28ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-29T03:43:16Z","title_canon_sha256":"50bd3fb51d2de03d49021107fa2ac274817d0f7c9f50464c79024ade32abfb2d"},"schema_version":"1.0","source":{"id":"2505.23048","kind":"arxiv","version":1}},"canonical_sha256":"fde4ad5338a91f81897934da8e1ecd86b6fc6342c5972516d128204d02339dbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fde4ad5338a91f81897934da8e1ecd86b6fc6342c5972516d128204d02339dbe","first_computed_at":"2026-07-05T11:11:54.436720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:54.436720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dkzrKq5E0bMVz/Jig4SU5/8Yjz2GkGH8wmjKL1NHVXJtKrH4J47z9rl/4jbPpfyakJpTxy+QAXHTYiUjOli7Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:54.437189Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.23048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbdace5ac088810e514481aef2a0eb95ff7c60fbd40f2a12e08d88ebf2f95909","sha256:e57f7204ff05f8e77bd188b8a15cb87960c9c4922b8345bad3d130eee07f973c"],"state_sha256":"06918701ecd80c609d2ff01bbcfd3f962367fdec9a49c479bac5808028de43e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CWrwRBjnw8w40dWGhw1l6le1EGVGZbuztgVlKk9f/qUD4lxuECn77OhAW0uydlzAtyalpepKwHSiCfowshY+AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T16:03:25.826793Z","bundle_sha256":"1aea87df7e039273cf2802350dca3d5ee7ee477b5fd025125cf60847cd8f2697"}}